Understanding Inequalities Within Triangles

If the two sides of a triangle have lengths of 8 and 15, which of the following could be the length of the third side?

• 7

• 23

• 10

• 17

According to the Triangle Inequality Theorem, which of the following sets of numbers could represent the sides of a triangle?

• 3, 4, 8

• 5, 12, 13

• 10, 10, 25

• 2, 2, 4

What is the range of possible lengths for the third side of a triangle if the two sides measure 9 and 14 units?

• 5<x<23 units

• 6<x<22 units

• 5<x<24 units

• 4<x<23 units

If one side of a triangle measures 10 units and the other side measures 24 units, which of the following could NOT be the measure of the third side?

• 15 units

• 35 units

• 20 units

• 33 units

In a triangle, if the longest side measures 18 units, which of the following statements must be true?

• The sum of the lengths of the other two sides is greater than 18 units.

• The difference of the lengths of the other two sides is less than 18 units.

• Both A and B

• Neither A nor B

What is the minimum length of the third side of a triangle if the two sides measure 11 and 17 units?

• 6 units

• 7 units

• 28 units

• 29 units

Using the Triangle Inequality Theorem, determine the maximum length of the third side of a triangle if the two sides measure 13 and 20 units.

• 32 units

• 33 units

• 34 units

• 35 units

If the midsegment of a triangle is 12 units, what is the length of the parallel side?

• 6 units

• 12 units

• 24 units

• 18 units

Tags

CCSS.HSG.SRT.B.4

• 13

• 12

• 10

• 8

Tags

CCSS.HSG.SRT.B.4

• 11

• 10

• 12

• 16

Tags

CCSS.8.G.B.8